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The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (3 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
75.6.a.a	$75$	$6$	75.a	1.a	$1$	$1$	$1$	$12.029$	\(\Q\)	None	✓				15.6.a.b	$1$	$1$	\(-7\)	\(-9\)	\(0\)	\(-12\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-7q^{2}-9q^{3}+17q^{4}+63q^{6}-12q^{7}+\cdots\)
75.6.a.b	$75$	$6$	75.a	1.a	$1$	$1$	$1$	$12.029$	\(\Q\)	None	✓	✓			75.6.a.b	$1$	$1$	\(-4\)	\(-9\)	\(0\)	\(225\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}-2^{4}q^{4}+6^{2}q^{6}+15^{2}q^{7}+\cdots\)
75.6.a.e	$75$	$6$	75.a	1.a	$1$	$1$	$1$	$12.029$	\(\Q\)	None	✓				3.6.a.a	$1$	$1$	\(6\)	\(-9\)	\(0\)	\(40\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{2}-9q^{3}+4q^{4}-54q^{6}+40q^{7}+\cdots\)

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